A276003 Numbers n for which A060502(n) = 3; numbers with exactly three occupied slopes in their factorial representation.

9, 27, 31, 32, 34, 35, 37, 39, 40, 41, 44, 45, 51, 57, 61, 63, 64, 65, 68, 69, 79, 81, 82, 83, 104, 105, 123, 127, 128, 130, 131, 133, 135, 136, 137, 140, 141, 145, 146, 148, 149, 150, 156, 158, 162, 163, 166, 167, 169, 170, 172, 173, 175, 176, 178, 179, 180, 182, 186, 187, 190, 191, 193, 195, 196, 197, 198, 200, 205, 207, 208, 209, 210, 211, 212

Offset

1,1

Comments

Also numbers n such that A060498(n) is a three-ball juggling pattern.

Links

Antti Karttunen, Table of n, a(n) for n = 1..15620

Index entries for sequences related to factorial base representation

Formula

Other identities. For all n >= 1:

A060130(a(n)) >= 3.

Example

27 ("1011" in factorial base) is included as there are three distinct values attained by the difference digit_position - digit_value when computed for its nonzero digits: 4-1 = 3, 2-1 = 1 and 1-1 = 0.
51 ("2011" in factorial base) is included as there are three distinct values attained by the difference digit_position - digit_value when computed for its nonzero digits: 4-2 = 2, 2-1 = 1 and 1-1 = 0.
57 ("2111" in factorial base) is included as there are three distinct values attained by the difference digit_position - digit_value when computed for its nonzero digits: 4-2 = 3-1 = 2, 2-1 = 1 and 1-1 = 0.

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A276003 (MATCHING-POS 1 0 (lambda (n) (= 3 (A060502 n)))))

Crossrefs

Cf. A060130, A060498, A060502, A276001, A276002.

Sequence in context: A370872 A115148 A022701 * A255343 A108107 A340237

Adjacent sequences: A276000 A276001 A276002 * A276004 A276005 A276006

Keyword

nonn,base

Author

Antti Karttunen, Aug 16 2016

Status

approved